Comparative study of the radius of sensitivity of the optical model potentials for $^6$Li+$^{58,64}$Ni and $^{16}$O+$^{58,64}$Ni

TL;DR

This study compares the sensitivity radii of optical model potentials for $^6$Li and $^{16}$O scattering on nickel isotopes near the Coulomb barrier, revealing differences in energy dependence and sensitivity characteristics.

Contribution

It provides a comparative analysis of the sensitivity radii for weakly and strongly bound projectiles on nickel isotopes, highlighting their energy dependence and differences.

Findings

Sensitivity radii for $^{16}$O are energy independent and near the strong absorption radius.

For $^{6}$Li, the crossing radius increases as energy decreases.

No crossing occurs at the Coulomb barrier for either system.

Abstract

Radii of sensitivity were estimated for the $^{6}$Li+$^{58,64}$Ni system at energies near the Coulomb barrier. For comparison purposes, such radii were also estimated for stable $^{16}$O scattered from same target isotopes. The elastic scattering data were analysed with folded real potential generated from DDM3Y nucleon-nucleon interaction and an imaginary potential of volume Woods-Saxon form. The most sensitive radii for $^{16}$O+$^{58,64}$Ni system are found to be energy independent and close to the strong absorption radius. For $^{6}$Li projectile, unlike its strongly bound counterpart, the crossing radius increases with decreasing energy. However, no two crossing situation has been observed for both $^{6}$Li+$^{58,64}$Ni and $^{16}$O+$^{58,64}$Ni systems at the top of the barrier.